16417135572101 has 12 divisors (see below), whose sum is σ = 18047402113356. Its totient is φ = 14922914603520.

The previous prime is 16417135571987. The next prime is 16417135572113. The reversal of 16417135572101 is 10127553171461.

16417135572101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15938866507201 + 478269064900 = 3992351^2 + 691570^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16417135572101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16417135572181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6938846 + ... + 8998991.

It is an arithmetic number, because the mean of its divisors is an integer number (1503950176113).

Almost surely, 2^{16417135572101} is an apocalyptic number.

16417135572101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16417135572101 is a deficient number, since it is larger than the sum of its proper divisors (1630266541255).

16417135572101 is a wasteful number, since it uses less digits than its factorization.

16417135572101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946372 (or 15946361 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 44.

The spelling of 16417135572101 in words is "sixteen trillion, four hundred seventeen billion, one hundred thirty-five million, five hundred seventy-two thousand, one hundred one".